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Finding the Third Proportional to 322,344 and 453,132

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Solution

The third proportional to 322,344 and 453,132 is: 636,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,344 : 453,132 = 453,132 : x
  2. Step 2: Convert to fraction form
    322,344/453,132 = 453,132/x
  3. Step 3: Cross multiply
    322,344x = 453,132 × 453,132
  4. Step 4: Simplify right side
    322,344x = 205,328,609,424
  5. Step 5: Solve for x
    x = 205,328,609,424/322,344
  6. Step 6: Final answer
    x = 636,985.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.